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22272440661 = 32191318091229
BaseRepresentation
bin10100101111100010…
…100111100101010101
32010111012112012210200
4110233202213211111
5331103221100121
614122023411113
71415634423222
oct245742474525
963435465720
1022272440661
11949a237359
124396bb3a99
13213c420993
14111401c949
158a54e6a26
hex52f8a7955

22272440661 has 48 divisors (see below), whose sum is σ = 34193016000. Its totient is φ = 13930824960.

The previous prime is 22272440651. The next prime is 22272440669. The reversal of 22272440661 is 16604427222.

22272440661 is a `hidden beast` number, since 2 + 227 + 24 + 406 + 6 + 1 = 666.

It is not a de Polignac number, because 22272440661 - 211 = 22272438613 is a prime.

It is a super-2 number, since 2×222724406612 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22272440669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18121795 + ... + 18123023.

It is an arithmetic number, because the mean of its divisors is an integer number (712354500).

Almost surely, 222272440661 is an apocalyptic number.

It is an amenable number.

22272440661 is a deficient number, since it is larger than the sum of its proper divisors (11920575339).

22272440661 is a wasteful number, since it uses less digits than its factorization.

22272440661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 22272440661 its reverse (16604427222), we get a palindrome (38876867883).

The spelling of 22272440661 in words is "twenty-two billion, two hundred seventy-two million, four hundred forty thousand, six hundred sixty-one".

Divisors: 1 3 9 19 57 131 171 393 809 1179 1229 2427 2489 3687 7281 7467 11061 15371 22401 23351 46113 70053 105979 138339 160999 210159 317937 482997 953811 994261 1448991 2013601 2982783 3058981 6040803 8948349 9176943 18122409 18890959 27530829 56672877 130248191 170018631 390744573 1172233719 2474715629 7424146887 22272440661